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Zapiski Nauchnykh Seminarov LOMI, 1976, Volume 60, Pages 3–14 (Mi znsl2065)  
This article is cited in 1 scientific paper (total in 1 paper)

An iterative description of the class $\varepsilon^1$ of Grzegorczyk's hierarchy

A. P. Beltiukov
Full-text PDF (571 kB) Citations (1)
Abstract: A class of abstract computing machines is described. It is proved that the class of all functions computable by these machines coincides with the class $\varepsilon^1$ of Grzegorczyk's hierarchy.
English version:
Journal of Soviet Mathematics, 1980, Volume 14, Issue 5, Pages 1429–1436
DOI: https://doi.org/10.1007/BF01693973
Bibliographic databases:
UDC: 51.01:518.5
Language: Russian
Citation: A. P. Beltiukov, “An iterative description of the class $\varepsilon^1$ of Grzegorczyk's hierarchy”, Studies in constructive mathematics and mathematical logic. Part VII, Zap. Nauchn. Sem. LOMI, 60, "Nauka", Leningrad. Otdel., Leningrad, 1976, 3–14; J. Soviet Math., 14:5 (1980), 1429–1436
Citation in format AMSBIB
\Bibitem{Bel76}
\by A.~P.~Beltiukov
\paper An iterative description of the class $\varepsilon^1$ of Grzegorczyk's hierarchy
\inbook Studies in constructive mathematics and mathematical logic. Part~VII
\serial Zap. Nauchn. Sem. LOMI
\yr 1976
\vol 60
\pages 3--14
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl2065}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=536669}
\zmath{https://zbmath.org/?q=an:0449.03033|0343.02027}
\transl
\jour J. Soviet Math.
\yr 1980
\vol 14
\issue 5
\pages 1429--1436
\crossref{https://doi.org/10.1007/BF01693973}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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